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Paradox and Infinity
OCW Master Course Number
24.118
Spring 2019
OCW_LOMv1.0
Author
Rayo, Agustín
2021-5-5
OCW Course Topics
Humanities
Philosophy
Metaphysics
OCW Course Topics
Mathematics
Computation
OCW Course Topics
Mathematics
Mathematical Logic
OCW Course Topics
Social Science
Game Theory
contents/index.htm.xml
Paradox and Infinity
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Paradox and Infinity
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24-118s19.jpg
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24-118s19-th.jpg
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syllabus-image.jpg
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Syllabus
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Readings
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24.118_S19 Paradox and Infinity, Readings: On the Brink of Paradox: List of Known Errors
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Assignments
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24.118_S19 Paradox and Infinity, Assignments: Problem Set 1: Infinite Cardinalities
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24.118_S19 Paradox and Infinity, Assignments: Problem Set 2: The Higher Infinite
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24.118_S19 Paradox and Infinity, Assignments: Problem Set 3: Omega-sequence Paradoxes
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24.118_S19 Paradox and Infinity, Assignments: Problem Set 4: Time Travel
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24.118_S19 Paradox and Infinity, Assignments: Problem Set 5: Newcomb's Problem
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24.118_S19 Paradox and Infinity, Assignments: Problem Set 6: Probability
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24.118_S19 Paradox and Infinity, Assignments: Problem Sets 7 and 8
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24.119_S19 Paradox and Infinity, Assignments: Problem Set 9: Computability
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24.118_S19 Paradox and Infinity, Assignments: Problem Set 10: Gödel's Theorem
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Calendar
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Lecture Notes
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24.118_S19 Paradox and Infinity, Lecture Note 10: Newcomb's Problem
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24.118_S19 Paradox and Infinity, Lecture Note 11: Probability, Subjective and Objective
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24.118_S19 Paradox and Infinity, Lecture Note 12: Countable Additivity
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24.118_S19 Paradox and Infinity, Lecture Note 13: Measure Theory
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24.118_S19 Paradox and Infinity, Lecture Note 14: The Vitali Sets
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24.118_S19 Paradox and Infinity, Lecture Note 15: Banach-Tarski: Preliminaries
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24.118_S19 Paradox and Infinity, Lecture Note 16: Banach-Tarski: The Theorem
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24.118_S19 Paradox and Infinity, Lecture Note 17: Computability: Turing Machines
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24.119_S19 Paradox and Infinity, Lecture Note 18: Non-computable Functions I
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24.118_S19 Paradox and Infinity, Lecture Note 19: Non-computable Functions II
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24.118_S19 Paradox and Infinity, Lecture Note 20: Gödel's Theorem I
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24.118_S19 Paradox and Infinity, Lecture Note 21: Gödel's Theorem II
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24.118_S19 Paradox and Infinity, Lecture Note 1: The Cantorian Theory of Size I
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24.118_S19 Paradox and Infinity, Lecture Note 2: The Cantorian Theory of Size II
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24.118_S19 Paradox and Infinity, Lecture Note 3: The Ordinals I
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24.118_S19 Paradox and Infinity, Lecture Note 4: The Ordinals II
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24.118_S19 Paradox and Infinity, Lecture Note 5: Ordinals as Blueprints
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24.118_S19 Paradox and Infinity, Lecture Note 6: Omega-sequence Paradoxes I
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24.118_S19 Paradox and Infinity, Lecture Note 7: Omega-sequence Paradoxes II
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24.118_S19 Paradox and Infinity, Lecture Note 8: Time Travel
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24.118_S19 Paradox and Infinity, Lecture Note 9: Time Travel and Free Will
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Legal Notices
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Privacy Statement
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Trademark Notices
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OCW Master Course Number
24.118 Paradox and Infinity Spring 2019
This course presents highlights of the more technical side of philosophy. It studies a cluster of puzzles, paradoxes, and intellectual wonders — from the higher infinite to Gödel's Theorem — and discusses their philosophical implications.
infinite cardinalities
Omega-Sequence Paradoxes
time travel
Newcomb's Problem
probability
The Banach-Tarski Theorem
computability
Gödel's Theorem
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